Uncountable set definitions

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Uncountable set

Uncountable set logo #21000 In mathematics, an uncountable set (or uncountably infinite set) is an infinite set that contains too many elements to be countable. The uncountability of a set is closely related to its cardinal number: a set is uncountable if its cardinal number is larger than that of the set of all natural numbers. ==Characterizations== There are many equivalen...
Found on http://en.wikipedia.org/wiki/Uncountable_set

uncountable set

uncountable set logo #21160A set of numbers that can't be put in a definite order from smallest to largest and so can't be counted. All uncountable sets are infinite, but not all infinite sets are uncountable. The best known uncountable set is the set of all real numbers. By contrast the set of all natural numbers, which repr...
Found on http://www.daviddarling.info/encyclopedia/U/uncountable_set.html
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